Hey there the answer is,
<span>The Greates Common Factor (GCF) is: 7
</span>
Hope I helped!!!<3
Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A. 
B. 
C. 
D. 
Answer:
B.
Step-by-step explanation:
Given
Equation 1:
Equation 2:
Required:
Equivalent of equation 2
To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2
Open the bracket
Simplify fraction
Divide through by 2
Re-arrange
The next step is to compare each of option A through D with
A.
is not equal to
We check the next available option
B.
is equal to
This option is equivalent to the second equation in slope-intercept form.
We check further if there are more equivalent options
C.
Convert fraction to decimal
This is not equal to
D.
Convert fraction to decimal
This is not equal to
Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B
the first option is the answer
Step-by-step explanation:
4c + 6a <= 120 [building hours]
4c + 4a <= 100 [testing hours]
4 * 20 + 6 * 6 <= 120
80 + 36 <= 120
116 <= 120
true, they have enough building hours
4 * 20 + 4 * 6 <= 100
80 + 24 <= 100
104 <= 100
false, they won't have enough testing hours
the first option is the answer
Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long
R + g + b = 50
r = b + 6
g = b - 4
(b + 6) + (b - 4) + b = 50
3b + 2 = 50
3b = 50 - 2
3b = 48
b = 48/3
b = 16 <=== 16 blue marbles
r = b + 6
r = 16 + 6
r = 22 <=== 22 red marbles
g = b - 4
g = 16 - 4
g = 12 <=== 12 green marbles
